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Finding the Fourth Proportional to 453,264.39, 678,984.21 and 209,762.19

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Solution

The fourth proportional to 453,264.39, 678,984.21 and 209,762.19 is: 314,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,264.39 : 678,984.21 = 209,762.19 : x
  2. Step 2: Convert to fraction form
    453,264.39/678,984.21 = 209,762.19/x
  3. Step 3: Cross multiply
    453,264.39x = 678,984.21 × 209,762.19
  4. Step 4: Simplify right side
    453,264.39x = 142,425,214,865.02
  5. Step 5: Solve for x
    x = 142,425,214,865.02/453,264.39
  6. Step 6: Final answer
    x = 314,221.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.